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                Find the Outlier                </h1>
                <p>时间限制：30s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><div>Abacus教授刚刚完成了一个制作数表的计算引擎的设计。它被设计用于同时计算一个多项式在许多点的取值。例如</div>
<div>对于多项式 f(x)=x^2+2x+1 ，一种可能的计算结果是 f(0)=1,f(1)=4,f(2)=9.f(3)=16,f(4)=25 。不幸的是，引</div>
<div>擎存在一个故障使得计算出的值总有一个是错的，例如对于上述多项式，它可能输出 1,4,12,16,25 而不是 1,4,9</div>
<div>,16,25 。请你帮教授找出发生故障的是哪个点值。</div>
<p></p></p><hr/><h3>输入格式</h3><p><div>输入包含多组测试数据。</div>
<div>每组数据第一行包含一个正整数 d 表示多项式的度数，即多项式最高次项的项数，保证 d&le;5 。</div>
<div>接下来 d+3 行，每行一个实数，第 i 行表示输出的 f(i) &nbsp;的值，保证-100.0&le;f(i)&le;100.0 。</div>
<div>你可以认为恰好只有一个点值出故障，且与实际值的误差超过 1.0 。</div>
<div>由于不可避免的误差，其他数字与精确值的误差不超过10^(-6) &nbsp;。</div>
<div>输入以一个零作为结束。</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>对于每组数据，输出一个非负整数 i 表示 f(i) &nbsp;的值发生故障。</div>
<p></p></p><hr/><h3>样例输入</h3><pre>2
1.0
4.0
12.0
16.0
25.0
1
-30.5893962764
5.76397083962
39.3853798058
74.3727663177
4
42.4715310246
79.5420238202
28.0282396675
-30.3627807522
-49.8363481393
-25.5101480106
7.58575761381
5
-21.9161699038
-48.469304271
-24.3188578417
-2.35085940324
-9.70239202086
-47.2709510623
-93.5066246072
-82.5073836498
0 </pre><hr/><h3>样例输出</h3><pre>2
1
1
6
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>鸣谢Tangjz提供试题</p>
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